REVIEW 9 cited by
Axions, Higher-Groups, and Emergent Symmetry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Axions, Higher-Groups, and Emergent Symmetry
read the original abstract
Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry, which measures the charge of axion strings. As we review, these symmetries typically combine into a higher-group, a kind of non-abelian structure where symmetries that act on operators of different dimensions, such as points, lines, and strings, are mixed. We use this structure to derive model independent constraints on renormalization group flows that realize theories of axions at long distances. These give universal inequalities on the energy scales where various infrared symmetries emerge. For example, we show that in any UV completion of axion-Yang-Mills, the energy scale at which axion strings can decay is always larger than the mass scale of charged particles.
Forward citations
Cited by 9 Pith papers
-
CMB Birefringence from Vacuum Interfaces
CMB polarization rotation emerges as a Pancharatnam phase localized at dark sector vacuum interfaces, independent of redshift, frequency, and the presence of light axions.
-
Generalized Families of QFTs
Generalized family anomalies for broken higher-group and non-invertible symmetries constrain RG flows and IR phases of QFT families, with explicit application to deformed 4d QCD.
-
Non-invertible symmetries in the axiverse, and the imaginary wormholes
Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.
-
A Guide to Symmetric Mass Generation in Lattice-QCD
SMG is compatible with lattice QCD under stated criteria; meson mass ratios probe the SMG UV fixed point and Goldstone tetraquarks signal type-II SMG.
-
Non-invertible symmetries in the axiverse, and the imaginary wormholes
Identifies invertible and non-invertible generalized symmetries in axiverse EFTs and argues that wormholes break non-invertible axion symmetries via the Imaginary Distance Bound, implying a distinguished role for towe...
-
A Guide to Symmetric Mass Generation in Lattice-QCD
Staggered fermion actions meet the criteria for symmetric mass generation in lattice QCD, with Goldstone tetraquark states as a signature of the type-II phase.
-
What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
-
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.
-
Lectures on Generalized Symmetries
Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.